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Let f denote the greatest integer (floor) function and g the modulus (absolute value) function. Evaluate (g o f)(-5/3) - (f o g)(-5/3).

1. 1
2. -1
3. 2
4. 4

Correct answer: 1

Solution

(g o f)(-5/3) = |floor(-5/3)| = |-2| = 2. (f o g)(-5/3) = floor(|-5/3|) = floor(5/3) = 1. Difference = 2 - 1 = 1.

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